The solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
What is log ?A logarithm is the power to which a number must be raised in order to get some other number .
We have,
[tex]ln(2x + 4) = ln(x + 3)[/tex]
Now, apply log rules
As we have [tex](ln)[/tex] on both which will be cancel out,
⇒
[tex]2x+4=x+3[/tex]
[tex]3x=3-4[/tex]
[tex]x=(-1)[/tex]
So, on getting solution to the given equation we get the value of [tex]x=(-1)[/tex] .
Hence, we can say that the solution to this equation, [tex]ln(2x + 4) = ln(x + 3)[/tex] is [tex]x=(-1)[/tex] .
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The dimensions of two square pyramids formed of sand are shown. How much more sand is in the pyramid with the greater volume?
I will ONLY give brainliest to whoever answer FIRST AND whoever answers CORRECTLY!
Answer:
There is 32in² more sand in the pyramid with greater volume.
Step-by-step explanation:
Volume of rectangular pyramid = l²*h/3, where l is the base length and h is height.
Volume of left pyramid=l²*h/3=8²*(6/3)=64*(2)=128in³
Volume of right period=l²*h/3=6²*(8/3)=36(8/3)=96in³
128-96=32, there is 32in² more sand in the pyramid with greater volume.
You are planning a survey of starting salaries for recent computer science majors. In the latest survey by the National Association of Colleges and Employers, the average starting salary was reported to be $60,038. 5 If you assume that the standard deviation is $4300, what sample size do you need to have a margin of error equal to $500 with 95% confidence
Answer:
A sample size of 285 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation is $4300
This means that [tex]\sigma = 4300[/tex]
What sample size do you need to have a margin of error equal to $500 with 95% confidence?
A sample size of n is needed. n is found when M = 500. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96\frac{4300}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*4300[/tex]
[tex]\sqrt{n} = \frac{1.96*4300}{500}[/tex]
[tex]n = 284.1[/tex]
Rounding up
A sample size of 285 is needed.
What is another way to describe an equailteral triangel
A=acute
B=obtuse
C=right
D=scalene
Answer:
c
Step-by-step explanation:
prove that the electric field is negative of the gradient of electric potential
Answer:
Electric field points out the direction in which potential energy function is decreasing so it's the negative gradient vector of the potential energy function.
Step-by-step explanation:
^^
1ч (х – 2) =36 times-Ч2
Answer:
x = -7
Step-by-step explanation:
14(x - 2) = 3(-42)
14x - 28 = -126
14x = -126 + 28
14x = -98
x = -7
Guys please help me with this problem
Make a list of the possible outcomes from the table
Answer:
(d)
Step-by-step explanation:
The answer is d because it's pretty simple , you can have the white shirt with both trousers and the green shirt with both aswell.
Plums and Peaches
The graphs below show the cost y of buying x pounds of fruit. One
graph shows the cost of buying x pounds of peaches, and the other
shows the cost of buying x pounds of plums.
Answer:
a. Peaches cost more by pound because the line it forms is steeper
b. draw a line that is less steep than the plums and under the plums line
Which number has the least value?
A 7.078
B 7.708
C 7.807
D 7.007
Answer: D
Step-by-step explanation: It has the least value in the hundredths and thousandths place, so it is D.
HELP ME PLEASE SOME ONE!
Answer:
240 inches cubed
I see you have 4 mins left
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
⚠️HELP⚠️
If <6≈<10and <5≈<7, which describes all the lines that must be parallel?
o Only lines r and s must be parallel.
o Only lines t and umust be parallel.
Lines r and s and lines t and u must be parallel.
O Neither lines r and s nor lines t and u must be parallel
From the image we can see that; Lines r and s and lines t and u must be parallel.
What are parallel lines?The term parallel lines refers to those lines that can not meet. We know parallel lines by the arrows that show us where they are pointing to.
Thus, from the image we can see that; Lines r and s and lines t and u must be parallel.
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What is the solution set for 4x+9 <17?
Is B right? Or A?
Answer:
[tex]x<2[/tex]
Step-by-step explanation:
[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]
[tex]4x+9-9<17-9[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4x<8[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]=x<2[/tex]
Answer:
4x+9=17
-9 -9 subtract 9 on both sides to cancel 9 on one side of equation and subtracted on the other side
4x=8
divide 4 on both sides to get x by itself
x=8/4
x=2 SOLUTION
Step-by-step explanation:
I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help
(I'll give brainliest if you answer right
Answer:
19 will be the answer.
Step-by-step explanation:
10+9=19
Answer:
19
Step-by-step explanation:
can i get brainiest
Ali has $60 to spend and would like to buy
as many calculators as possible with the
money. The calculators that she wants to
buy are $8.75 each.
How much money will she have left over
after she purchases the greatest possible
number of calculators?
Answer:
60/8.75 = 6 calculators.
6 x 8.75 = 52.5
60 - 52.5 = $7.50 left
Step-by-step explanation:
Evaluate 4y-4, when y=3
Answer:
8
Step-by-step explanation:
4(3)-4=?
12-4=?
8=?
Answer:
The answer is 8
Step-by-step explanation:
4(3)-4
4 times 3 is 12 subtract by 4 you get 8.
the length of rectangular park is 15 m longer than that of the park is 114m find it's length and breadth
Answer: Length: ≈20.5 Breadth: ≈5.5
Step-by-step explanation: x(x+15)=114, solving for x we get 5.547 and 20.547.
tiffany spent 2 1/8 hours studying 1 3/8 hours talking on the phone 100 percent of an hour on chores and 1.75 hours walking which of the following lists her activities in order of greatest to least amount of time F. Chores, phone, walk, study G. Chores, study, walk, phone H. Study, phone, walk, chores J. Study, walk, phone, chores
Answer: J - Study. walk. phone, chores
Triangle ABC is inscribed in a circle. The measure of arc AB is 126°.
Answer:
B. 54°Step-by-step explanation:
hope it help you
follow me please
Name the marked angle in 2 different ways.
V
U
S
T
Answer:
VUS, UST
Step-by-step explanation:
Choose the two equal expressions
On which day of the month were you born?
a Categorical
or
b Numerical
Answer:
a (typing more bc of limit lolol)
please please please help me :(((
Answer:
In the last diagram the object is being acted upon by forces not adding up to zero.
Step-by-step explanation:
(Assuming force 1=force 2 in terms of magnitude)
Let forces acting towards the left = -1
Let forces acting toward the right = +1
In the first diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the second diagram, force1 is acting towards the left and force2 is acting towards the right:
Total force = force1+force2=-1+1=0
In the third diagram, force1 is acting towards the right and force2 is acting towards the left:
Total force = force1+force2=+1-1=0
In the fourth diagram, force1 is acting towards the left and force2 is acting towards the left:
Total force = force1+force2=-1-1=-2. Here, the forces do not add up to zero.
Find the value of x.
Answer:
116
Step-by-step explanation:
110+79+55=244
360-244=116
Answer:
116
Step-by-step explanation:
Does anyone know this, scammers keep answering it
Answer:
Blank 1: 50
Blank 2: 95
Blank 3: is not
Blank 4: is not
Step-by-step explanation:
A right angle is 90 degrees, and a rectangle is a plane figure that has four straight sides and four right angles.
HELP ASAP!!
The parent function f(x)= square root of x is translated 2 units right, compressed horizontally by a factor of 21 , and reflected across the x-axis.
Answer:
Ok? what's the question
Step-by-step explanation:
Answer:
i did my best to try and find something, do any of these help? lmk
Step-by-step explanation:
This table gives a few (x,y) pairs of a line in the coordinate plane. What is the y intercept of the line?
Answer:
0,34
Step-by-step explanation: when you do x2-x1/y2-y1 with the coordinates you get slope plug that in the the y= mx+b equation with any one of the coordinates and you get the y intercept.
What is the domain of the following parabola? (5 points)
u-shaped graph that opens down with a vertex of 1, 2
Group of answer choices
y ≤ 2
x ≥ 1
All real numbers
x ≤ 1
Answer:
the domain for this parabola is all real numbers
Simplify
(-8.5) (-5) (-2)
Answer: -85
Hope this helps!
A middle school has 89 sixth graders, 107 seventh graders, and 104 eighth graders. The grid represents the 31% of students at this school who bring their lunch. 10 by 10 grid with first 3 columns shaded and top unit of the fourth row shaded How many students bring their lunch to school?
Find the slope of 3y = 6x + 4